Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
324 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 113 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #16811030 | C2 | semidirect |
| 4. #16810990 | C2 | semidirect |
| 8. #16810933 | C2 | semidirect |
| 9. #16810932 | C2 | semidirect |
| 133. C53 | #3236 | semidirect |